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Finding the Third Proportional to 670,804 and 997,080

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Solution

The third proportional to 670,804 and 997,080 is: 1,482,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,804 : 997,080 = 997,080 : x
  2. Step 2: Convert to fraction form
    670,804/997,080 = 997,080/x
  3. Step 3: Cross multiply
    670,804x = 997,080 × 997,080
  4. Step 4: Simplify right side
    670,804x = 994,168,526,400
  5. Step 5: Solve for x
    x = 994,168,526,400/670,804
  6. Step 6: Final answer
    x = 1,482,055.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.